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In each equation solve for the variable and compare. I. $x^{2} - 13 x + 42 = 0$
II. $y^{2} - 5 y + 6 = 0$

Competition practiceQuadratic Comparison

A $x$ ≤ $y$
B $x < y$
C $x$ ≥ $y$
D $x > y$

Step-by-Step Solution

x = 6

or 7 and

y = 2

or 3. The smallest

x

(6) is greater than the largest

y

(3), so

x > y

.

Answer: D)

x > y

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